A baker wants to reduce the amount of sugar in his cake recipes. He decides to reduce the amount used in one cake by 1/3 cup. He then uses 9 1/6 cups of sugar to bake 7 cakes. How much sugar was originally in each cake recipe? How much sugar is used in each cake now?

In the following diagram it is given that dec, ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

Find the maximum value of p= 4x + 5y subject to the following constraints :

]supplementary angles are two angles that add up to . • complementary angles are two angles that add up to degrees. • adjacent angles share a and a • congruent angles have the measure. • an triangle has one angle that is greater than 90 degrees. • a triangle with angles 45°, 45°, and 90° would be a triangle